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110048016 = 24313315689
BaseRepresentation
bin1101000111100…
…11001100010000
321200002000111110
412203303030100
5211133014031
614530413320
72504251461
oct643631420
9250060443
10110048016
1157134781
1230a31240
1319a51190
1410888d68
1599dbc46
hex68f3310

110048016 has 80 divisors (see below), whose sum is σ = 316090880. Its totient is φ = 32762880.

The previous prime is 110047999. The next prime is 110048023. The reversal of 110048016 is 610840011.

It is a super-2 number, since 2×1100480162 = 24221131651072512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110047983 and 110048001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16500 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (3951136).

Almost surely, 2110048016 is an apocalyptic number.

110048016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110048016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158045440).

110048016 is an abundant number, since it is smaller than the sum of its proper divisors (206042864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110048016 is a wasteful number, since it uses less digits than its factorization.

110048016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 110048016 is about 10490.3773049400. The cubic root of 110048016 is about 479.2116921756.

Adding to 110048016 its reverse (610840011), we get a palindrome (720888027).

The spelling of 110048016 in words is "one hundred ten million, forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 5689 6448 9672 11378 17067 19344 22756 34134 45512 68268 73957 91024 136536 147914 176359 221871 273072 295828 352718 443742 529077 591656 705436 887484 1058154 1183312 1410872 1774968 2116308 2292667 2821744 3549936 4232616 4585334 6878001 8465232 9170668 13756002 18341336 27512004 36682672 55024008 110048016